Use our free GCF of Fractions Calculator tool to compute the GCF of 509/239, 257/733 i.e 1/175187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 509/239, 257/733.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 509/239,257/733
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 509/239,257/733, numerators are 509,257
Denominators are 239,733
The GCF of 509,257 is 1 .
LCM of 239,733 is 175187.
The greatest common factor of 509/239,257/733 = [GCF of 509,257]/[LCM of 239,733]= 1/175187
Therefore, the GCF of 509/239,257/733 is 1/175187.
To find the highest common factor of 509,257, we have to find the factors of both numbers and list the highest common factor.
The factors of 509 are 1, 509
The factors of 257 are 1, 257
The HCF of 509,257 is 1.
Lets's calculate GCF of 509,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 509
:1,509
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 509,257 . The biggest common factor number is the GCF number.
So the greatest common factor 509,257 is 1.
Lets's calculate LCM of 239,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 175187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175187
Therefore, the GCF of Fractions 509/239,257/733 is 1/175187
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 239,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,733) x common factors =1 x 1 = 1
LCM(239,733) = ( 239 × 733 ) / 1
LCM(239,733) = 175187 / 1
LCM(239,733) = 175187
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 509,257?
The HCF of 509,257 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 509/239, 257/733?
Answer: GCF of Numerators as per given numbers 509/239, 257/733 is
GCF of Numerators i.e. for 509,257 is 1
LCM of denominators i.e. for 239,733 is 175187.
Thus, GCF of Fractions is 1/175187.Finally, GCF of Fractions for 509/239, 257/733 is 1/175187.